Home
Class 12
MATHS
If the remainders obtained when a polyno...

If the remainders obtained when a polynomial `f(x)` is divided with `x, x-1, x+1` respectively are 1, -2, 3 then find the remainder when `f(x)` is divided with `x^(3)-x` ?

Text Solution

Verified by Experts

The correct Answer is:
`(-1)/(2)(x^(2)+5x-2)`
Promotional Banner

Topper's Solved these Questions

  • PARTIAL FRACTIONS

    AAKASH SERIES|Exercise EXERCISE - I|5 Videos

  • PARTIAL FRACTIONS

    AAKASH SERIES|Exercise EXERCISE - II|42 Videos

  • PARTIAL FRACTIONS

    AAKASH SERIES|Exercise EXERCISE - 4 ( SHORT ANSWER QUESTIONS)|42 Videos

  • PARABOLA

    AAKASH SERIES|Exercise EXERCISE -3.2 III.|5 Videos

  • PERMUTATIONS & COMBINATIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|163 Videos

Similar Questions

Explore conceptually related problems

Find the remainder when X^3-8 is divided by x-2

Find the remainder when x ^(3) +1 divided by (x +1)

The remainder obtained when the polynominal x^(64)+x^(27)+1 is divided by x+1 is

If f(x)=2x^(3)+3x^(2)-x+1 is divided with x+1 and x-1 and the respective remainders are 5 and -1 then find the remainder when f(x) is divided with x^(2)-1 ?

The remainder when x^101+101 is divided by x+1 is

If the remainders respectively when f(z) = z^(3)+z^(2)+2z+1 is divided with z-i and z+i and 1+3i and 1+i then find the remainder when f(z) is divided with z^(2)+1 ?

AAKASH SERIES-PARTIAL FRACTIONS-ADDITIONAL EXERCISE
  1. Find the remainder when x^(6)-4x^(5)+3x^(4)-2x^(2)+x-1 is divided with...

    Text Solution

    |

  2. If the remainders obtained when a polynomial f(x) is divided with x, x...

    Text Solution

    |

  3. Resolve into partial fractions the expression ((1+x)(1+2x)(1+3x))/((1-...

    Text Solution

    |

  4. Resolve (1)/(x^(8)(x+1)) into partial fractions.

    Text Solution

    |

  5. Resolve (1)/((x+1)^(6)(x+2)) into partial fractions.

    Text Solution

    |

  6. Resolve into partial fractions the expression (8x^(3)-5x^(2)+2x+4)/((2...

    Text Solution

    |

  7. Resolve (3x^(2)+5)/((x^(2)+2)^(2)(x^(2)+1)) into partial fractions

    Text Solution

    |

  8. Resolve (x^(4)+13x^(2)+15)/((2x^(2)+3)(x^(2)+3)^(2)) into partial frac...

    Text Solution

    |

  9. Resolve (x^(2)+4x+7)/((x^(2)+x+1)^(2)) into partial fractions.

    Text Solution

    |

  10. Resolve (x^(4)+x^(2)+x+2)/((x^(2)-x+1)^(2)) into partial fractions

    Text Solution

    |

  11. Find the value of k, if (i) (3x-4)/((x-3)(x+k))=(1)/(x-3)+(2)/(x+k...

    Text Solution

    |

  12. Find the value of k, if (ii) (k)/(x^(2)-4) = (1)/(x-2)-(1)/(x+2)

    Text Solution

    |

  13. Find the value of k, if (iii) (x^(2)8)/((x^(2)+2^(2)))=(1)/(x^(2)+...

    Text Solution

    |

  14. (i) If (ax+b)/((2x+3)^(2))=(1)/(2x+3)+(k)/((x^(2)+2)^(2)), then find t...

    Text Solution

    |

  15. (iii) If (x^(2)+x+2)/(x^(2)+2x+1)=A+(B)/(x+1)+(C)/((x+1)^(2)), then fi...

    Text Solution

    |

  16. Iiv) If (2x^(3)+1)/((x-1)(x+1)(x+2))=A+(B)/(x-1)+(C)/(x+1)+(D)/(x+2), ...

    Text Solution

    |

  17. If (x+1)/(x^(3)+x)=A/x +(Bx+C)/(x^(2)+1), then find the principal val...

    Text Solution

    |